michellemedellin michellemedellin

02-12-2016
Mathematics

contestada

find the sum 1 + 4 + 16 + · · · + 65,536

Respuesta :

05-12-2016

65,536÷4
=16,384
----------
16,384÷4
=4,096
---------
4,096÷4
=1,024
---------
1,024÷4
=256
---------
256÷4
=64
--------
64÷4=16
16÷4=4
4÷4=1
there are 8 numbers
a(1-q^n)÷q-1=1(1-4^7)÷(1-4)=1-16384\-3=-16383\-3=5461

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